Average Velocity of Flow given Head Loss Calculator

✖Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.ⓘ Head Loss [h_f]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%
✖Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock.ⓘ Darcy's Coefficient of Friction [f]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%

✖Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.ⓘ Average Velocity of Flow given Head Loss [v_avg]

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Average Velocity of Flow given Head Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe))
v_avg = sqrt((h_f*2*[g]*D_p)/(4*f*L_p))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Average Velocity in Pipe Fluid Flow - (Measured in Meter per Second) - Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Darcy's Coefficient of Friction - Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.

STEP 1: Convert Input(s) to Base Unit

Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required
Darcy's Coefficient of Friction: 0.045 --> No Conversion Required
Length of Pipe: 2.5 Meter --> 2.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_avg = sqrt((h_f*2*[g]*D_p)/(4*f*L_p)) --> sqrt((1.2*2*[g]*0.4)/(4*0.045*2.5))

Evaluating ... ...

v_avg = 4.57393193361394

STEP 3: Convert Result to Output's Unit

4.57393193361394 Meter per Second --> No Conversion Required

FINAL ANSWER

4.57393193361394 ≈ 4.573932 Meter per Second <-- Average Velocity in Pipe Fluid Flow

(Calculation completed in 00.004 seconds)

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< Darcy's Weisbach Equation Calculators

Average Velocity of Flow given Head Loss

LaTeX Go Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe))

Head Loss due to Friction by Darcy Weisbach Equation

LaTeX Go Head Loss = (4*Darcy's Coefficient of Friction*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)/(2*[g]*Diameter of Pipe)

Darcy's Coefficient of Friction given Head Loss

LaTeX Go Darcy's Coefficient of Friction = (Head Loss*2*[g]*Diameter of Pipe)/(4*Length of Pipe*(Average Velocity in Pipe Fluid Flow)^2)

Length of Pipe given Head Loss due to Friction

LaTeX Go Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2)

Average Velocity of Flow given Head Loss Formula

LaTeX Go

Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe))
v_avg = sqrt((h_f*2*[g]*D_p)/(4*f*L_p))

What is Average Velocity in Pipe Fluid Flow ?

Average velocity in pipe fluid flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

How to Calculate Average Velocity of Flow given Head Loss?

Average Velocity of Flow given Head Loss calculator uses Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)) to calculate the Average Velocity in Pipe Fluid Flow, The Average Velocity of Flow given Head Loss is defined as the value of the additional capacity or capability of fire pumps beyond what is required for normal operations, when we have prior information of head loss. Average Velocity in Pipe Fluid Flow is denoted by v_avg symbol.

How to calculate Average Velocity of Flow given Head Loss using this online calculator? To use this online calculator for Average Velocity of Flow given Head Loss, enter Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Length of Pipe (L_p) and hit the calculate button. Here is how the Average Velocity of Flow given Head Loss calculation can be explained with given input values -> 4.573932 = sqrt((1.2*2*[g]*0.4)/(4*0.045*2.5)).

FAQ

What is Average Velocity of Flow given Head Loss?

The Average Velocity of Flow given Head Loss is defined as the value of the additional capacity or capability of fire pumps beyond what is required for normal operations, when we have prior information of head loss and is represented as v_avg = sqrt((h_f*2*[g]*D_p)/(4*f*L_p)) or Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)). Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock & Length of Pipe describes the length of the pipe in which the liquid is flowing.

How to calculate Average Velocity of Flow given Head Loss?

The Average Velocity of Flow given Head Loss is defined as the value of the additional capacity or capability of fire pumps beyond what is required for normal operations, when we have prior information of head loss is calculated using Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*Length of Pipe)). To calculate Average Velocity of Flow given Head Loss, you need Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Length of Pipe (L_p). With our tool, you need to enter the respective value for Head Loss, Diameter of Pipe, Darcy's Coefficient of Friction & Length of Pipe and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Average Velocity in Pipe Fluid Flow?

In this formula, Average Velocity in Pipe Fluid Flow uses Head Loss, Diameter of Pipe, Darcy's Coefficient of Friction & Length of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Velocity in Pipe Fluid Flow = sqrt((Head Loss*[g]*Pipe Radius)/(Darcy's Coefficient of Friction*Length of Pipe))

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